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Finding the Fourth Proportional to 1,180.01, 1,769.87 and 314.39

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Solution

The fourth proportional to 1,180.01, 1,769.87 and 314.39 is: 471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.01 : 1,769.87 = 314.39 : x
  2. Step 2: Convert to fraction form
    1,180.01/1,769.87 = 314.39/x
  3. Step 3: Cross multiply
    1,180.01x = 1,769.87 × 314.39
  4. Step 4: Simplify right side
    1,180.01x = 556,419.01
  5. Step 5: Solve for x
    x = 556,419.01/1,180.01
  6. Step 6: Final answer
    x = 471.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.